中文摘要
本文以Fluent套裝軟體分析流體在充滿多孔性介質之方型部份開口內穴之自然對流熱傳。使用CFD數值模擬解析方式，多孔性介質以Darcy-Forchheimer模式，求解以不同Ra數及開口內穴角度，開口內穴之入口和出口溫度、熱對流之情況。
方形開口內穴左右兩邊壁面為絕熱壁，上壁面為加熱壁，下壁面為開口，流體由開口端流入之流體，經過加熱壁後，通往左右兩壁出口端流出。而影響流場與熱場的數值主要有瑞里數Ra（Rayleigh Number）、多孔性介值（Porous），內穴角度等。本文探討當改變不同參數時多孔介質之方型部份開口內穴所模擬結果之流場及溫度場繪製並討論之。



關鍵字：多孔性介質、瑞里數、開口內穴



關鍵字：多孔性介質，瑞裡數，開口內穴

Abstract
Natural convection in an open cavity filled with porous media is investigated numerically studied. The Darcy-Forchheimen model is applied and the CFD method is employed in the numerical simulation analysis. The thermal phenomenon is characterized by the Rayleigh number, inclined angle, and both the inlet and outlet fluid temperatures.
The model applied in the study is an open cavity constructed by two adiabatic side-walls, a heated top-wall, and the remaindering side is open to the ambient. The cold ambient air is induced to flow in the cavity by buoyancy caused by the hot wall, and then outflow through the two outlet openings provided on both the side-walls. The main governing parameters included are Ra (Rayleigh number), porous medium parameter, and the inclined angle. The analysis is displayed and discussed by the flow and thermal fields.




Key words: porous medium, Rayleigh number, open cavity

中文摘要 i
Abstract ii
致謝 iii
目錄 iv
表目錄 vi
圖目錄 vii
符號說明 xiii
希臘字母 xv
第一章 緒論 1
1-1 研究背景與動機 1
1-2 研究目的 1
1-3 相關文獻探討回顧 2
1-4 本文架構 2
第二章 理論分析 4
2-1 物理模型 4
2-2 基本假設 5
2-3 多孔性介值之基本定義 5
2-4 自然對流統御方程式 6
2-5 壓力與速度耦合方程式 10
2-6 數值模擬軟體簡介 10
2-7 ＣＤＦ分析步驟 12
2-8 網格結構 14
2-9 結構化網格 15
2-10 非結構化網格 15
第三章 Fluent軟體模擬驗證 17
3-1 軟體驗證 17
3-2 數值方法正確性之測試 18
3-3 格點測試 18
第四章 結果與討論 21
4-1 不同傾斜角度（δ）對等溫線圖變化影響的影響 21
4-2 不同瑞里數Ra（Rayleigh number）的影響 21
4-3 不同傾斜角度（δ）對Nusselt 數（Nusselt number）的影響 22
4-4 不同Nusselt數與瑞里數（Ra）多孔性介質（Porous）的影響 22
4-5 平均Nusselt數與開口比的影響 23
第五章 結論與建議 67
5-1 結論 67
5-2 建議 68
參考文獻 69
自述 72

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